Highest Common Factor of 491, 3206, 1823 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 491, 3206, 1823 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 491, 3206, 1823 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 491, 3206, 1823 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 491, 3206, 1823 is 1.
HCF(491, 3206, 1823) = 1
HCF of 491, 3206, 1823 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 491, 3206, 1823 is 1.
Highest Common Factor of 491,3206,1823 is 1
Step 1: Since 3206 > 491, we apply the division lemma to 3206 and 491, to get
3206 = 491 x 6 + 260
Step 2: Since the reminder 491 ≠ 0, we apply division lemma to 260 and 491, to get
491 = 260 x 1 + 231
Step 3: We consider the new divisor 260 and the new remainder 231, and apply the division lemma to get
260 = 231 x 1 + 29
We consider the new divisor 231 and the new remainder 29,and apply the division lemma to get
231 = 29 x 7 + 28
We consider the new divisor 29 and the new remainder 28,and apply the division lemma to get
29 = 28 x 1 + 1
We consider the new divisor 28 and the new remainder 1,and apply the division lemma to get
28 = 1 x 28 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 491 and 3206 is 1
Notice that 1 = HCF(28,1) = HCF(29,28) = HCF(231,29) = HCF(260,231) = HCF(491,260) = HCF(3206,491) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 1823 > 1, we apply the division lemma to 1823 and 1, to get
1823 = 1 x 1823 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 1823 is 1
Notice that 1 = HCF(1823,1) .
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Frequently Asked Questions on HCF of 491, 3206, 1823 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 491, 3206, 1823?
Answer: HCF of 491, 3206, 1823 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 491, 3206, 1823 using Euclid's Algorithm?
Answer: For arbitrary numbers 491, 3206, 1823 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.